Life games and statistical models. | Zendy

M. Dresden | Zendy; Danny K.Y. Wong | Zendy

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Life games and statistical models.

Author(s) -

M. Dresden,

Danny K.Y. Wong

Publication year - 1975

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.72.3.956

Subject(s) - nonlinear system , formalism (music) , class (philosophy) , set (abstract data type) , mathematics , dynamic equation , mathematical economics , computer science , physics , artificial intelligence , art , musical , quantum mechanics , visual arts , programming language

A set of equations is obtained, which describes the rules of a class of games (life games). These games simulate the processes of growth, death, survival, and competition. The equations are nonlinear difference equations, where the degree of nonlinearity is directly related to the number of interacting neighbors. The time evolution and the development of geometric patterns can be studied starting from these equations. Extensions and generalizations, such as the introduction of stochastic elements, can easily be accommodated in the formalism. Some significant unsolved problems are noted.

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